DOAJ Open Access 2024

Study of motion stability of a viscoelastic rod

Ірина Костюшко Гліб Шаповалов

Abstrak

Stability of non-conservatively loaded elastic and inelastic bodies – a classic section of deformable solid mechanics that has been of interest for many years. In this paper, we study the motion stability of a free rod subjected to a constant tracking force on one of its ends. The defining ratio of the rod material is the Kelvin-Voigt model. The solution is presented in the form of an expansion in terms of beam functions. The number of terms of this expansion is substantiated. The values of the critical load in the presence and absence of viscosity are determined. The given analytical results are confirmed by numerical calculations.

Penulis (2)

І

Ірина Костюшко

Г

Гліб Шаповалов

Format Sitasi

Костюшко, І., Шаповалов, Г. (2024). Study of motion stability of a viscoelastic rod. https://doi.org/10.20535/2521-1943.2024.8.1(100).297514

Akses Cepat

Informasi Jurnal
Tahun Terbit
2024
Sumber Database
DOAJ
DOI
10.20535/2521-1943.2024.8.1(100).297514
Akses
Open Access ✓